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How can you prove that the volume of a sphere is equal to the volume of a cylinder provided their radii are equal and the height of the cylinder is equal to the diameter of the sphere?

I'm quite sure this is impossible to prove, because the volume of a sphere is not equal to the volume of a cylinder with the same radius and height equal to the sphere's diameter. This can be shown as: Volume of sphere = (4*pi*r3) / 3. Volume of cylinder = pi*r2*h. Here, the height, h, of the cylinder = d = 2r. So, the volume of the cylinder = pi*r2*2r = 2*pi*r3, which obviously does not equal the volume of the sphere. The volume of half a sphere (with radius r) is equal to the volume of a cylinder(whose height is equal to its radius, r) minus the volume of a cone with the same height and radius. Therefore, the volume of a sphere is just double that. If you follow the nearby link, you can see a nice demonstration of that.


If an object floats in a beaker as shown assuming the graduated cylinder was empty when the object was placed in the beaker and the beaker was full to the level of the spout what must be true?

stop cheating on gizmos, fool. :)The Answer: The mass of the water in the graduated cylinder is equal to the mass of the object.lol


Number cannot be shown as pairs of cubes What is it called?

L


How do you find the volume of a composite shape?

A figure (or shape) that can be divided into more than one of the basic figures is said to be a composite figure (or shape).For example, figure ABCD is a composite figure as it consists of two basic figures. That is, a figure is formed by a rectangle and triangle as shown below.The area of a composite figure is calculated by dividing the composite figure into basic figures and then using the relevant area formula for each basic figure.Example 20Find the area of the following composite figure:Solution:The figure can be divided into a rectangle and triangle as shown below.So, the area of the composite figure is 216 cm2.


what- yuki is provided with the figure shown. it is given that ...?

A+


What is the phase constant of the oscillation shown in the figure, given that the values are 180, 0, and 180?

The phase constant of the oscillation shown in the figure is 180 degrees.


Is it correct to say shown in drawing or shown on drawing?

It would be more correct to use "in" than "on". But rather than using "drawing" it might be better to use the word "illustration" or "figure" unless you were referring to an actual drawing as a piece of artwork.


How many different labeled rays are shown?

There are two different labeled rays shown in the figure.


What is the angle of rotational symmetry of the figure shown?

45


what- rufus is provided with the figure shown. it is given that ab?

A+


How do you find the dimensions of a figure if you know the dimensions of a similar figure?

If two objects have the same shape, they are called "similar." When two figures are similar, the ratios of the lengths of their corresponding sides are equal. To determine if the triangles shown are similar, compare their corresponding sides.


What solid figures do you get if you cut the rengtangular prism as shown?

We can get a two cubes because when you cut the rectangular prism you can get it.You will see.^_^